Question

If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
A.1
B.3
C.5
D.10

Answer 1

$hi \: mate \\ \\ \\ log_{10}(5(5x + 1) \div (x + 5)) \: = 1 \\ \\ 25x + 5 = 10x + 25 \\ \\ x = 3 \\ \\ \\ have \: a \: nyc \: tym$

Answer 2

Answer :

Option (B) X = 2

Step by step explanation :

Hey Mate,

Given Equation : log₁₀ 5 + log₁₀ (5X + 1) = log₁₀ (X + 5) + 1

Solution : log ₁₀ 5 + log ₁₀ (5X + 1) = log ₁₀ (X + 5) + 1

=> log ₁₀ 5 + log ₁₀ (5X + 1) = log ₁₀ (X + 5) + log ₁₀ 10  

=> log ₁₀ [5 (5X + 1)] = log ₁₀ [10(X + 5)]

=> 5(5X + 1) = 10(X + 5)

=> 25X + 5 = 10X + 50

=> 15X = 45

=> X = 3

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